How Terry Tao Became an Evangelist for AI in Math

kept by eddie jun 12

Terry Tao champions combining human insight, AI, and the Lean proof assistant to enable massive, verified mathematical collaborations.

Human mathematicians are being outcounterexampled
AI tools have rapidly generated and formalized counterexamples to longstanding conjectures such as Erdős’ unit distance, Grothendieck’s group scheme problem, and the Jacobian conjecture, showing machines now out‑counterexample humans.
also on Mathlib, Lean, OpenAI, #open-source
All Lean Books and Where to Find Them
A personal guide lists and reviews nine Lean 4 books, offering subjective opinions and suggested learning paths.
also on Mathlib, Lean, #open-source
Learning more about Claude's mathematical capabilities \ Anthropic
An unreleased version of Claude improved the lower bound for the fraction of Riemann zeta zeros satisfying the Riemann hypothesis from 41.6% to 67.2% by combining prior mathematical research.
also on #mathematics, Lean, #ai
The end of the age of heroes - by Noah Smith - Noahpinion
AI’s recent breakthroughs in solving major math problems signal that human mathematical heroism is ending, reshaping the role of mathematicians.
also on #mathematics, OpenAI, #ai
AI is doing something weird to Science
Scientific discovery emerges from a loop of human question-posing, LLM proposal, external verification, and human curation, not from AI alone.
also on Lean, #open-source